How to Find GCF of 4275/263, 6139/2048?

GCF of 4275/263, 6139/2048

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4275/263, 6139/2048 i.e 1/538624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4275/263, 6139/2048.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4275/263,6139/2048?

Given fractions are 4275/263,6139/2048

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4275/263,6139/2048, numerators are 4275,6139

Denominators are 263,2048

The GCF of 4275,6139 is 1 .

LCM of 263,2048 is 538624.

The greatest common factor of 4275/263,6139/2048 = [GCF of 4275,6139]/[LCM of 263,2048]= 1/538624

Therefore, the GCF of 4275/263,6139/2048 is 1/538624.

Greatest Common Factor of 4275,6139

To find the highest common factor of 4275,6139, we have to find the factors of both numbers and list the highest common factor.

The factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275

The factors of 6139 are 1, 7, 877, 6139

The HCF of 4275,6139 is 1.

Lets's calculate GCF of 4275,6139

Greatest Common Factor (GCF) of 4275,6139 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4275,6139 By Matching Biggest Common Factor Method

Now, list down the factors of 4275

1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275

Now, list down the factors of 6139

1,7,877,6139

Greatest Common Factor

We found the factors 4275,6139 . The biggest common factor number is the GCF number.
So the greatest common factor 4275,6139 is 1.

Lets's calculate LCM of 263,2048

Lowest Common Multiple of 263,2048 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 538624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538624

Therefore, the GCF of Fractions 4275/263,6139/2048 is 1/538624

Least Common Multiple of 263,2048 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 263,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,2048) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(263,2048) x common factors =1 x 1 = 1

LCM(263,2048) = ( 263 × 2048 ) / 1

LCM(263,2048) = 538624 / 1

LCM(263,2048) = 538624

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FAQs on GCF of Fractions of 4275/263, 6139/2048

1. What is the HCF of 4275,6139?

The HCF of 4275,6139 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4275/263, 6139/2048?

Answer: GCF of Numerators as per given numbers 4275/263, 6139/2048 is

GCF of Numerators i.e. for 4275,6139 is 1

LCM of denominators i.e. for 263,2048 is 538624.

Thus, GCF of Fractions is 1/538624.Finally, GCF of Fractions for 4275/263, 6139/2048 is 1/538624.